2(3x+5)=2(2x-4)-4x

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Solution for 2(3x+5)=2(2x-4)-4x equation:


Simplifying
2(3x + 5) = 2(2x + -4) + -4x

Reorder the terms:
2(5 + 3x) = 2(2x + -4) + -4x
(5 * 2 + 3x * 2) = 2(2x + -4) + -4x
(10 + 6x) = 2(2x + -4) + -4x

Reorder the terms:
10 + 6x = 2(-4 + 2x) + -4x
10 + 6x = (-4 * 2 + 2x * 2) + -4x
10 + 6x = (-8 + 4x) + -4x

Combine like terms: 4x + -4x = 0
10 + 6x = -8 + 0
10 + 6x = -8

Solving
10 + 6x = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 6x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -8 + -10
6x = -8 + -10

Combine like terms: -8 + -10 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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